NEEDS DONE IN MATLAB

need help on #19,22,26

25. Numerically verify that y-y+cos + asinc = C is an implicit solution to the ODE by hand. This solution is implicit. Choose 3 different C-values +y=0. You may find it easier to dy 19. Numerically verify that y(x) = sin x +2 cos x is a solution on (-0,00) to dx 20. Numerically verify that y (x) = e", y2(a) = xe" are both solutions on (-00,00) to y" - 2y +y=0. 21. Solve y' = sin(x2), y(0) = 0 by hand. Then use MATLAB to find y(1), y(3). (Hint: remember, from calculus, that y(x) = 5* f(t)dt is a function of x and thus y(1) is a number that can be evaluated with the above code.) Use MATLAB to plot the solution from = 0 to = 4. 22. Use MATLAB to numerically solve y' = sin(x), y(0) = 0. Plot this numerical solution from = = 0 to r = 4. sin(2) 23. Solve y' y(1) = 0 by hand. Then use MATLAB to find y(2), y(3). (Hint: remember, from calculus, that y(x) = $* f(t)dt is a function of x and thus y(2) is a number that can be evaluated with the above code.) Use MATLAB to plot the solution from x= 1 to 2 = 6. 24. Use MATLAB to numerically solve y' y(1) = 0. Plot this numerical solution 1 to 2 = 6. sin(2) from = 1 2 -ECOSO. y 26. Solve y + ay 24-1 and plot the implicit solutions